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Browsing Fen - Edebiyat Fakültesi by Author "Hashemi, Mir Sajjad"

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A geometric approach for solving the density-dependent diffusion Nagumo equation

Hashemi, Mir Sajjad; Darvishi, Elham; Baleanu, Dumitru (Springer International Publishing, 2016-03-31)

In this paper, some solutions of the density-dependent diffusion Nagumo equation are obtained by using a new approach, the Lie symmetry group-preserving scheme (LSGPS). The effects of various model parameters on the solution ...
A new application of the Legendre reproducing kernel method

Foroutan, Mohammad Reza; Hashemi, Mir Sajjad; Gholizadeh, Leila; Akgül, Ali; Jarad, Fahd (2022)

n this work, we apply the reproducing kernel method to coupled system of second and fourth order boundary value problems. We construct a novel algorithm to acquire the numerical results of the nonlinear boundary-value ...
Exact Solutions, Lie Symmetry Analysis and Conservation Laws of the Time Fractional Diffusion-Absorption Equation

Hashemi, Mir Sajjad; Balmeh, Zahra; Baleanu, Dumitru (2019)
New Method For Investigating the Density-Dependent Diffusion Nagumo Equation

Akgül, Ali; Hashemi, Mir Sajjad; İnç, Mustafa; Khan, Hasib; Baleanu, Dumitru (Vinca Inst Nuclear Sci, 2018)

We apply reproducing kernel method to the density-dependent diffusion Nagumo equation. Powerful method has been applied by reproducing kernel functions. The approximations to the exact solution are obtained. In particular, ...
New Solutions of Nonlinear Dispersive Equation in Higher-Dimensional Space with Three Types of Local Derivatives

Akgül, Ali; Hashemi, Mir Sajjad; Jarad, Fahd (2022-04)

The aim of this paper is to use the Nucci’s reduction method to obtain some novel exact solutions to the s-dimensional generalized nonlinear dispersive mK(m,n) equation. To the best of the authors’ knowledge, this paper ...
On fractional KdV-Burgers and potential KdV equations: Existence and uniqueness results

Hashemi, Mir Sajjad; İnç, Mustafa; Baleanu, Dumitru (2019)

Recently a new kind of derivatives, namely the conformable derivative is introduced which have not many drawbacks of other fractional derivatives. Two types of KdV equations with conformable derivative are investigated in ...
Solving the Lane-Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme

Hashemi, Mir Sajjad; Akgül, Ali; İnç, Mustafa; Mustafa, Idrees Sedeeq; Baleanu, Dumitru (MDPI, 2017-12)

We apply the reproducing kernel method and group preserving scheme for investigating the Lane-Emden equation. The reproducing kernel method is implemented by the useful reproducing kernel functions and the numerical ...
Solving the time-fractional diffusion equation using a lie group integrator

Hashemi, Mir Sajjad; Baleanu, Dumitru; Parto-Haghighi, Mohammad; Darvishi, Elham (Vinca Inst Nuclear Sci, 2015)

In this paper, we propose a numerical method to approximate the solutions of time fractional diffusion equation which is in the class of Lie group integrators. Our utilized method, namely fictitious time integration method ...

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Browsing Fen - Edebiyat Fakültesi by Author "Hashemi, Mir Sajjad"

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